Answer:
PR = 17 cm
Step-by-step explanation:
Given :
In ΔPQR,
PQ = 39 cm
PN is an altitude.
QN = 36 cm
RN = 8 cm.
To Find : Length of PR
Solution :
Since we are given that PN is an altitude .
So, PN divides ΔPQR in two right angled triangles named as ΔPQN and ΔPRN. (Refer attached file)
So, first we find Length of PN in ΔPQN using Pythagoras theorem i.e.
Thus, Length of PN = 15cm
Now to find length of PR we will use Pythagoras theorem in ΔPRN.
Hence the length of PR = 17 cm
Answer:
40 marbles.
Step-by-step explanation:
Given:
Box A can hold 10 marbles.
Box B is double the height of Box A, four times the length of Box A, and half the width of box A.
Question asked:
How many marbles can Box B hold?
Solution:
Let volume of box A =
Let volume of box B =
Now, suppose:
Length of box A =
Breadth =
Height =
So, volume of box A,
As given, Box B is double the height of Box A, four times the length of Box A, and half the width of box A.
So, Length of box B =
Breadth =
Height =
Volume of box B, =
By dividing volume of box A with volume of box B:
By cross multiplication:
That means volume of box B is 4 times volume of box A;
∵ Box A can hold = 10 marbles
∴ Box B ( 4 times of box A ) can hold =
Therefore, Box B can hold 40 marbles.
Answer:
2.5+2.0+4.0+3.0 =11.5 if I'm not mistaken